Results 241 to 250 of about 2,287 (271)
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Delay differential systems for tick population dynamics
Journal of Mathematical Biology, 2014Ticks play a critical role as vectors in the transmission and spread of Lyme disease, an emerging infectious disease which can cause severe illness in humans or animals. To understand the transmission dynamics of Lyme disease and other tick-borne diseases, it is necessary to investigate the population dynamics of ticks.
Fan, Guihong +2 more
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Differential–Algebraic Equations and Dynamic Systems on Manifolds
Cybernetics and Systems Analysis, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kryvonos, Iu. G. +2 more
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Differential Equations and System Dynamics
2014In Chapter 5, we saw how we can simulate a continuous process given by the update equations which define the rate of change of the process in terms of the current and previous values of the process. A real world system is a combination of interdependent processes which may be hidden or visible to the outside world.
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2009
This book aims to present a new approach called Flow Curvature Method that applies Differential Geometry to Dynamical Systems. Hence, for a trajectory curve, an integral of any n-dimensional dynamical system as a curve in Euclidean n-space, the curvature of the trajectory — or the flow — may be analytically computed.
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This book aims to present a new approach called Flow Curvature Method that applies Differential Geometry to Dynamical Systems. Hence, for a trajectory curve, an integral of any n-dimensional dynamical system as a curve in Euclidean n-space, the curvature of the trajectory — or the flow — may be analytically computed.
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Dynamical Systems and Differential Equations
2015In this chapter, we review some basic topics in the theory of ordinary differential equations from the viewpoints of the global geometrical approach which is a base to develop the energy flow analysis for NDS. In the first two sections the review of basic theory for dynamical systems and differential equations is rapid.
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Differential Forms and Dynamical Systems
2007One of the modern geometric views of dynamical systems is as vector fields on a manifold, with or without boundary. The starting point of this paper is the observation that, since one-forms are the natural expression of linear functionals on the space of vector fields, the interaction between the two makes some aspects of the study of equilibria and ...
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Dynamic system simulation with qualitative differential equations
1992Qualitative differential equations (QDE) are a popular formalism for modelling dynamic systems qualitatively. This paper briefly introduces the basic concepts of this approach, including types of constraints used in QDE and the QSIM simulation algorithm.
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Entropy, Lyapunov exponents, and Hausdorff dimension in differentiable dynamical systems
IEEE Transactions on Circuits and Systems, 1983Lai-Sang Young
exaly
Differential Equations and Dynamical Systems
Mathematics of Computation, 1968E. I., Jack K. Hale, Joseph P. LaSalle
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